A charge of $16 C$ $16 C$ passes through a circuit every $12 s$ $12 s$ . If the circuit can generate $36 W$ $36 W$ of power, what is the circuit's resistance?

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Answer 1 · 2018-04-27T13:42:24

The circuit resistance is $=20.25Omega$

Apply the equation

$"Charge"(C)"$ $= "Current(A)"xx"time (t)"$

The charge is $Q=16C$

The time is $t=12s$

The current is $I=16/12=4/3A$

Ohm's Law states that

$U=RI$

The power is

$P=UI=RI^2$

The power is $P=36W$

The resistance is

$R=P/(I^2)=36/(4/3)^2=20.25Omega$

A charge of 16 C16C16 C passes through a circuit every 12 s12s12 s. If the circuit can generate 36 W36W36 W of power, what is the circuit's resistance?